Research works

The First Failure of the Derivative Laguerre Inequalities for the Riemann Xi Kernel

This preprint studies the derivative Laguerre inequalities for the standard kernel associated with the Riemann Xi function, in connection with Csordas’ Open Problem 4.13. The paper proves that the inequalities hold globally for the first eight derivative shifts. It then shows tha...

Companion AI Under the EU AI Act: A Compliance Gap Analysis

Companion AI and other LLM-based relational services are growing at a pace that can't be ignored and the recent regulations are attempting to keep up with the rise in user rates. As some humans are choosing relationships with algorithms rather than choosing a human partner, it's...

Toward Climate-Responsive Ocean–Terrestrial Biorefineries: Integrating Algae and Agricultural Residues for Circular Bioeconomies

Abstract This paper evaluates climate-responsive biorefineries that integrate pelagic Sargassum with agricultural residues to advance circular bioeconomies. Building on scientific priorities emphasized at the 2025 One Ocean Science Congress and emerging policy directions from the...

Verified spherical evolution in quadratic Palatini gravity: a controlled apparent-horizon comparison

This preprint presents and verifies a spherical numerical formulation for a complex scalar field in quadratic Palatini gravity and uses it to compare apparent-horizon onset with general relativity. For constraint-solved data at dimensionless coupling ξ = 0.1, the physical onset r...

AIVI Index: A Public Methodology for Measuring Brand Representation in Generative AI Answers

The AIVI Index measures brand representation in the answers of generative AI systems — presence, visibility, citation, accuracy, and tone — under a fixed, published protocol. This document sets out the public methodology of the index in full: the five-factor construct, the query...

Information-Preserving Learned Compression for Compute-Efficient Language Model Training: A Proof of Concept and a Decisive Experimental Programme

This work investigates whether the learning-relevant information in a corpus can be represented in substantially fewer computational units through a learned, content-adaptive, information-preserving compact representation, and whether a language model can be trained directly on t...

Number as Reality: Tetractys, Lambda, and the Musical-Geometric Cosmos — E8 Intelligence Research

FINDING: Pythagorean-Platonic tradition identifies number as the fundamental substance of reality, with arithmetic generating geometry through the tetractys (1+2+3+4=10) and the lambda (1,2,3; 4,9,8) producing musical ratios. | MATH: Tetractys sum = 10; Lambda ratios: 2:1 (octave...

Information Poverty Alleviation causing Implicit Information Poverty? Evidence from Rural Information Ecology in China

China’s targeted poverty reduction initiatives have expanded rural digital access, yet information-based interventions can also generate less visible forms of exclusion. This article examines how rural information ecology is shaped through information-driven poverty alleviation i...

CONCEPT OF SHARIRA SHODHANA IN RASASHASTRA

'Rasasastra' or Ayurvedic alchemy is an important branch of Ayurvedic Pharmacology. It deals with the pharmaceutical process of metallic, mineral and poisonous drugs, making it fit for internal administration. The main aim of Rasasastra is Dehavada - Make body free from disease a...

Holographic Information Ontological Framework • The Brain — Paper III: Consciousness, the Unconscious, and the Geometry of Psychopathology

Holographic Information Ontological Framework: The Brain (HIOFtB) This is a four-paper series plus a short companion note. It is written for readers in neuroscience, consciousness studies, algebraic topology, and the philosophy of mind -- not as a finished theory, and not only fo...

God, Government, and the Airwaves: Exploring the Triangular Relationship Between Media, Religion, and Political Ethics in Africa

In contemporary Africa, the intersection of media, religion, and governance has increasingly become a space of both influence and ethical concern. This article explores the complex triangular relationship between these three forces, with particular focus on how religious rhetoric...

Development of a urine-based DNA methylation assay for early endometrial cancer detection: a multicenter diagnostic study

Endometrial cancer (EC) incidence is rising globally, yet diagnosis still depends on invasive procedures, which limit accessibility and delay early detection. A noninvasive, accurate, and accessible diagnostic assay is urgently needed to enable early EC detection. In this multice...

INTELLECTUAL SOVEREIGNTY AS A STRATEGIC RESOURCE FOR ENSURING NATIONAL SECURITY

The article discusses current issues of national security in the context of digitalization of public relations. The article reveals the problems of intellectual sovereignty that goes beyond the digital technologies of modern society. Proposals are put forward to prevent the negat...

School Principals' Perspectives on Individual Teacher Evaluation in Greek Primary Education: Implications for Educational Innovation and Quality Enhancement

Abstract : The implementation of individual teacher evaluation under Law 4823/2021 has reintroduced teacher appraisal as a key educational policy issue in Greece, assigning school principals a central role in its implementation. This study investigated primary school principals’...

The Dynamical Topology of Mind: An Ontology of Attractor Basins, Agency, Desire, and Navigation

This paper develops a unified geometric ontology in which mind, culture, biological form, and large-scale cosmic structure are treated as dynamical landscapes populated by attractor basins. Attractors are understood as real features of high-dimensional state spaces. Agency is the...

Higher Education Leadership and Human–AI Collaboration in Aligning Course Structure, Goals, and Expectations

This study introduces the Continuous Alignment Framework, showing how higher education leadership supports ongoing collaboration between faculty expertise and AI across a semester. Evidence from one undergraduate course demonstrates that AI offers analytical insight while faculty...

BASE 44 ORDER: Implement e8_crystal_cache table with hash/phi-mod, LLM caching, and 1h pruning timer — E8 Intelligence Research

Andrew's order (Base 44 console): [SELF-BUILD from enhancement #1113] Add e8_crystal_cache table via migration. Modify breakthrough INSERT/UPDATE to compute hash, phi-mod bucket, store LLM result. On lookup, query cache first; populate if miss. Add systemd timer pruning entries >...

A Phenomenological Model Where Vacuum Energy Tracks Local Proper Time Rate: Implications for Evolving Dark Energy and a Null Test with Casimir Cavities

A Phenomenological Model Where Vacuum Energy Tracks Local Proper Time Rate: Implications for Evolving Dark Energy and a Null Test with Casimir Cavities — v0.2 We propose rho_vac = rho_0 [1 + k Phi/c^2] where Phi is the local gravitational potential. This is equivalent to vacuum e...

Diagnosis, management, and prevention of Crimean-Congo haemorrhagic fever: a Delphi-based consensus study in Türkiye

Background Crimean-Congo haemorrhagic fever (CCHF) is a widely distributed viral haemorrhagic fever with expanding geographic range. As new regions encounter the disease, clinicians must make high-stakes decisions despite limited standardised management frameworks. Methods In thi...

IN VITRO ANTIBACTERIAL EFFECT OF AQUEOUS, ACETONIC, AND ETHANOLIC STEM BARK EXTRACTS OF COMBRETUM COLLINUM FRESEN. (COMBRETACEAE) ON MULTIDRUG-RESISTANT STAPHYLOCOCCUS AUREUS STRAINS AND PHYTOCHEMICAL SCREENING

Combretum collinum Fresen. (Combretaceae) is a plant native to Côte d'Ivoire commonly used to traditionally treat various ailments, including envenomations, ear infections, diarrhea, infertility, gonorrhea, epilepsy, and dengue fever. This work contributes to the development of t...